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Finding the Fourth Proportional to 25,665, 35,417.70 and 13,889

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Solution

The fourth proportional to 25,665, 35,417.70 and 13,889 is: 19,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,665 : 35,417.70 = 13,889 : x
  2. Step 2: Convert to fraction form
    25,665/35,417.70 = 13,889/x
  3. Step 3: Cross multiply
    25,665x = 35,417.70 × 13,889
  4. Step 4: Simplify right side
    25,665x = 491,916,435.30
  5. Step 5: Solve for x
    x = 491,916,435.30/25,665
  6. Step 6: Final answer
    x = 19,166.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.